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aniked [119]
3 years ago
11

If he rows with the current, Mishka rows 48 km in 3 hours. If he rows against the current, it takes 4 hours to travel the same d

istance. Find Mishka's speed and the speed of the current.
Mathematics
1 answer:
Zarrin [17]3 years ago
6 0
<h2>Mishka's speed = 14 km/hr</h2><h2>Current speed = 2 km/hr</h2>

Step-by-step explanation:

Let the speed of rowing be r and speed of current be c.

If he rows with the current, Mishka rows 48 km in 3 hours.

        Relative speed = r + c

        Distance = 48 km

        Time = 3 hours

        48 = 3 x ( r+c)

        r + c = 16 ---------------------------eqn 1

If he rows against the current, it takes 4 hours to travel the same distance.

        Relative speed = r - c

        Distance = 48 km

        Time = 4 hours

        48 = 4 x ( r - c)

        r - c = 12 ---------------------------eqn 2

eqn 1 + eqn 2

        2r = 28

          r = 14 km/hr

Substituting in eqn 1

         14 + c = 16

                c = 2 km/hr

Mishka's speed = 14 km/hr

Current speed = 2 km/hr

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